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Finding the Fourth Proportional to 138,195.40, 206,960.90 and 78,851.14

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Solution

The fourth proportional to 138,195.40, 206,960.90 and 78,851.14 is: 118,087.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,195.40 : 206,960.90 = 78,851.14 : x
  2. Step 2: Convert to fraction form
    138,195.40/206,960.90 = 78,851.14/x
  3. Step 3: Cross multiply
    138,195.40x = 206,960.90 × 78,851.14
  4. Step 4: Simplify right side
    138,195.40x = 16,319,102,900.43
  5. Step 5: Solve for x
    x = 16,319,102,900.43/138,195.40
  6. Step 6: Final answer
    x = 118,087.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.